{"id":"https://openalex.org/W3154898126","doi":"https://doi.org/10.3390/e23040483","title":"Resultant Information Descriptors, Equilibrium States and Ensemble Entropy \u2020","display_name":"Resultant Information Descriptors, Equilibrium States and Ensemble Entropy \u2020","publication_year":2021,"publication_date":"2021-04-19","ids":{"openalex":"https://openalex.org/W3154898126","doi":"https://doi.org/10.3390/e23040483","mag":"3154898126","pmid":"https://pubmed.ncbi.nlm.nih.gov/33921766"},"language":"en","primary_location":{"id":"doi:10.3390/e23040483","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23040483","pdf_url":"https://www.mdpi.com/1099-4300/23/4/483/pdf?version=1618991735","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/23/4/483/pdf?version=1618991735","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103463611","display_name":"Roman F. Nalewajski","orcid":null},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Roman F. Nalewajski","raw_affiliation_strings":["Department of Theoretical Chemistry, Jagiellonian University, Gronostajowa 2, 30-387 Cracow, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Theoretical Chemistry, Jagiellonian University, Gronostajowa 2, 30-387 Cracow, Poland","institution_ids":["https://openalex.org/I126596746"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5103463611"],"corresponding_institution_ids":["https://openalex.org/I126596746"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.5985,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.66953241,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"23","issue":"4","first_page":"483","last_page":"483"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11177","display_name":"Spectroscopy and Quantum Chemical Studies","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11177","display_name":"Spectroscopy and Quantum Chemical Studies","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11948","display_name":"Machine Learning in Materials Science","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.664841890335083},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.5505882501602173},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5361561179161072},{"id":"https://openalex.org/keywords/wave-function","display_name":"Wave function","score":0.5261760950088501},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.45619872212409973},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4386945366859436},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.34787866473197937},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3435940146446228},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.3361448049545288},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14257508516311646}],"concepts":[{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.664841890335083},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.5505882501602173},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5361561179161072},{"id":"https://openalex.org/C113603373","wikidata":"https://www.wikidata.org/wiki/Q2362761","display_name":"Wave function","level":2,"score":0.5261760950088501},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.45619872212409973},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4386945366859436},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.34787866473197937},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3435940146446228},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3361448049545288},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14257508516311646}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.3390/e23040483","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23040483","pdf_url":"https://www.mdpi.com/1099-4300/23/4/483/pdf?version=1618991735","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:33921766","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33921766","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:ruj.uj.edu.pl:item/278170","is_oa":true,"landing_page_url":"https://ruj.uj.edu.pl/xmlui/handle/item/278170","pdf_url":"http://ruj.uj.edu.pl/bitstreams/7e0d098f-5488-4a37-a1fd-a0c7005ef86a/download","source":{"id":"https://openalex.org/S4306401249","display_name":"Jagiellonian University Repository (Jagiellonian University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I126596746","host_organization_name":"Jagiellonian University","host_organization_lineage":["https://openalex.org/I126596746"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:cabdb160e67c47cc81ae661d64324d25","is_oa":true,"landing_page_url":"https://doaj.org/article/cabdb160e67c47cc81ae661d64324d25","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 23, Iss 4, p 483 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/23/4/483/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e23040483","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy; Volume 23; Issue 4; Pages: 483","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:8073102","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/8073102","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e23040483","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23040483","pdf_url":"https://www.mdpi.com/1099-4300/23/4/483/pdf?version=1618991735","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3154898126.pdf","grobid_xml":"https://content.openalex.org/works/W3154898126.grobid-xml"},"referenced_works_count":67,"referenced_works":["https://openalex.org/W4118423","https://openalex.org/W107188161","https://openalex.org/W570850713","https://openalex.org/W653518928","https://openalex.org/W1485130370","https://openalex.org/W1578400311","https://openalex.org/W1968391990","https://openalex.org/W1973651700","https://openalex.org/W1978365214","https://openalex.org/W1982724040","https://openalex.org/W1985010001","https://openalex.org/W1985785264","https://openalex.org/W1989650347","https://openalex.org/W1995186358","https://openalex.org/W1995875735","https://openalex.org/W2008708918","https://openalex.org/W2009458392","https://openalex.org/W2017581624","https://openalex.org/W2021854502","https://openalex.org/W2023947035","https://openalex.org/W2030976617","https://openalex.org/W2031434056","https://openalex.org/W2031500589","https://openalex.org/W2034427123","https://openalex.org/W2038148869","https://openalex.org/W2044202126","https://openalex.org/W2045912147","https://openalex.org/W2046729040","https://openalex.org/W2052778342","https://openalex.org/W2053565514","https://openalex.org/W2067657644","https://openalex.org/W2069004962","https://openalex.org/W2086458318","https://openalex.org/W2087171258","https://openalex.org/W2091822340","https://openalex.org/W2101958915","https://openalex.org/W2113530858","https://openalex.org/W2137852732","https://openalex.org/W2168640332","https://openalex.org/W2230728100","https://openalex.org/W2331160533","https://openalex.org/W2409324477","https://openalex.org/W2485833610","https://openalex.org/W2760631300","https://openalex.org/W2884836941","https://openalex.org/W2889486113","https://openalex.org/W2931308135","https://openalex.org/W2966936473","https://openalex.org/W2971174778","https://openalex.org/W2982291319","https://openalex.org/W2985141412","https://openalex.org/W2993383518","https://openalex.org/W3021743581","https://openalex.org/W3025976735","https://openalex.org/W3029368511","https://openalex.org/W3038294514","https://openalex.org/W3041298607","https://openalex.org/W3113177087","https://openalex.org/W4245439180","https://openalex.org/W4248110726","https://openalex.org/W4252742263","https://openalex.org/W4285719527","https://openalex.org/W4300816443","https://openalex.org/W4378677528","https://openalex.org/W4378695386","https://openalex.org/W6661581884","https://openalex.org/W6663619503"],"related_works":["https://openalex.org/W2061278088","https://openalex.org/W2163103544","https://openalex.org/W3039080452","https://openalex.org/W3033899355","https://openalex.org/W2055254734","https://openalex.org/W1997886855","https://openalex.org/W3025482071","https://openalex.org/W4254856950","https://openalex.org/W2889544313","https://openalex.org/W2754056656"],"abstract_inverted_index":{"In":[0,139],"this":[1],"article,":[2],"sources":[3],"of":[4,18,53,94,98,124,134,152,166,178],"information":[5,102,130],"in":[6,75,109],"electronic":[7,156],"states":[8,55,114],"are":[9,89,115,146,171],"reexamined":[10],"and":[11,27,38,46,86,105,127],"a":[12],"need":[13],"for":[14,82,181],"the":[15,19,35,72,76,83,91,95,99,110,118,125,140,143,149,153,163,167,183],"resultant":[16,100,128],"measures":[17],"entropy/information":[20],"content,":[21],"combining":[22],"contributions":[23,41],"due":[24,61],"to":[25,42,62,70,117,173],"probability":[26,63,107],"phase/current":[28],"densities,":[29],"is":[30,68,103,137],"emphasized.":[31],"Probability":[32],"distribution":[33],"reflects":[34],"wavefunction":[36,84],"modulus":[37,85],"generates":[39],"classical":[40],"Shannon\u2019s":[43],"global":[44],"entropy":[45],"Fisher\u2019s":[47],"gradient":[48,101,129,169],"information.":[49],"The":[50,65,122],"phase":[51,73,87],"component":[52],"molecular":[54],"similarly":[56],"determines":[57],"their":[58],"nonclassical":[59],"supplements,":[60],"\u201cconvection\u201d.":[64],"local-energy":[66],"concept":[67],"used":[69],"examine":[71],"equalization":[74],"equilibrium,":[77],"phase-transformed":[78],"states.":[79],"Continuity":[80],"relations":[81],"components":[88],"reexamined,":[90],"convectional":[92],"character":[93],"local":[96],"source":[97],"stressed,":[104],"latent":[106],"currents":[108],"equilibrium":[111],"(stationary)":[112],"quantum":[113],"related":[116],"horizontal":[119],"(\u201cthermodynamic\u201d)":[120],"phase.":[121],"equivalence":[123],"energy":[126],"(kinetic":[131],"energy)":[132],"descriptors":[133],"chemical":[135],"processes":[136],"stressed.":[138],"grand-ensemble":[141],"description,":[142],"reactivity":[144,179],"criteria":[145],"defined":[147],"by":[148,162],"populational":[150],"derivatives":[151,165],"system":[154],"average":[155],"energy.":[157],"Their":[158],"entropic":[159],"analogs,":[160],"given":[161],"associated":[164],"overall":[168],"information,":[170],"shown":[172],"provide":[174],"an":[175],"equivalent":[176],"set":[177],"indices":[180],"describing":[182],"charge":[184],"transfer":[185],"phenomena.":[186]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-16T08:24:45.110214","created_date":"2025-10-10T00:00:00"}
